Is it possible to create vector fields based on a math equation?

First of all, how to create an equation-free 3-D vector field in blender? I understand that it’s not possible to list everything in a single answer, but if someone can guide me in the right direction, it would be highly helpful.

Something like this,

there are addon to create 3D models from Math equations

but to create a vector field that is not possible yet!

you might try to write a complicated addon to do it for one specific field type
to show small arrows along paths is another story!

happy bl

Thank you very much, I saw a post on r/blender on reddit, https://www.reddit.com/r/blenderhelp/comments/dol75w/how_shall_i_recreate_this/
and hence I asked.

I saw some magnetic field line in 3D
but not with small arrows all around

I think you need some other soft made to work with vectors field

unless you got some sort of algo to make these little arrows
I don’t see a way to do this!

but may be someone else has seen something !

happy bl

I ckeck some old notes

and there was some addon to help make vector field
but have not tested it and may not work in latest blender

but check these out

https://www.reddit.com/r/blender/comments/8aqyns/vector_field/

https://forum.unity.com/threads/using-vectorfields-with-new-particlesystemforcefield-how.583873/

https://isathar.blogspot.com/p/tools.html

sorry don’t have much time right now to experiment with these

if you find a way let us know
seem interesting

happy bl